Steiner minimal trees in small neighbourhoods of points in Riemannian manifolds

DOI10.1070/SM8759zbMath1375.05146OpenAlexW2605667593WikidataQ115316521 ScholiaQ115316521MaRDI QIDQ4596677

V. M. Chikin

Publication date: 4 December 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8759

zbMATH Keywords

minimal networks

Mathematics Subject Classification ID

Trees (05C05) Extremal problems in graph theory (05C35) Local Riemannian geometry (53B20)

Related Items (1)

Functions preserving metrics, and Gromov-Hausdorff space

Cites Work

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• Steiner minimal trees for regular polygons
• Graham's problem on shortest networks for points on a circle
• Locally minimal networks on surfaces of constant negative curvature
• Full minimal Steiner trees on lattice sets
• Classification of closed locally minimal networks on flat Klein bottles
• Minimal Steiner trees for rectangular arrays of lattice points
• Minimal Steiner trees for \(2^ k \times 2^ k\) square lattices
• Closed locally minimal nets on tetrahedra
• Steiner Minimal Trees on Zig-Zag Lines
• Steiner Trees for Ladders
• A.D. Alexandrov spaces with curvature bounded below
• CLASSIFICATION OF CLOSED MINIMAL NETWORKS ON FLAT TWO-DIMENSIONAL TORI
• Steiner Trees on a Checkerboard
• CONVEX DOMAINS WITH NONCOMPACT AUTOMORPHISM GROUPS

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